Answer :
The specific heat of the unknown metal is 0.680 J/g°C.
To find the specific heat of the metal, we can use the formula:
q = mcΔT
where q is the amount of heat absorbed, m is the mass of the metal, c is the specific heat of the metal, and ΔT is the change in temperature.
We know that the metal weighs 217 g and absorbs 1.43 kJ of heat. We also know that its temperature increases from 24.5 °C to 39.1 °C.
First, we need to convert the mass of the metal to kilograms:
m = 217 g = 0.217 kg
Next, we can calculate ΔT:
ΔT = 39.1 °C - 24.5 °C = 14.6 °C
Now we can solve for the specific heat of the metal:
q = mcΔT
1.43 kJ = (0.217 kg) c (14.6 °C)
c = 1.43 kJ / (0.217 kg * 14.6 °C)
c = 0.680 J/g°C
Therefore, the specific heat of the unknown metal is 0.680 J/g°C.
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